Exact asymptotics of the current in boundary dissipated quantum chains in large external fields

Abstract

Boundary driven quantum master equation for a general inhomogeneous (non-integrable) anisotropic Heisenberg spin $1/2$ chain, or an equivalent nearest neighbor interacting spinless fermion chain, is considered in the presence of a strong external field $f$. We present an exact closed form expression for large $f$ asymptotics of the current in the presence of pure incoherent source and sink dissipation at the boundaries. In application we demonstrate arbitrary large current rectification in the presence of interaction.

5 pages, 2 figures

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Ultracold atoms out of equilibrium
• Modeling heat transport through completely positive maps
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Nonlinear current response of an isolated system of interacting fermions
• Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain

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• Transport and spectral properties of the XX$+$XXZ diode and stability to dephasing
• Non-equilibrium boundary driven quantum systems: models, methods and properties
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